Question

Water if flowing steadily through a horizontal pipe of non-uniform cross-section. If the velocity of water at a point where cross-section is $0.02m^3$ is $2m/s$, what is the velocity of water at another point where the cross-section is $0.01m^3$ ?

• A. $1m/s$
• B. $2m/s$
• C. $3m/s$
• D. $4m/s$

Answer 1

The correct option is D $4m/s$

According to torricellis theorem.

$A_1{V}_1=A_2{V}_2$

where

$A-$ Area of cross section

$V-$ Velocity of liquid

So,

$0.02\left(2\right)=V_2\left(0.01\right)$

$\Rightarrow V_2=4m/s$